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Finding the Fourth Proportional to 440.75, 608.24 and 256.75

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Solution

The fourth proportional to 440.75, 608.24 and 256.75 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.75 : 608.24 = 256.75 : x
  2. Step 2: Convert to fraction form
    440.75/608.24 = 256.75/x
  3. Step 3: Cross multiply
    440.75x = 608.24 × 256.75
  4. Step 4: Simplify right side
    440.75x = 156,164.34
  5. Step 5: Solve for x
    x = 156,164.34/440.75
  6. Step 6: Final answer
    x = 354.32

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Find fourth proportional to 220.38, 304.12 and 128.38
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.