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Finding the Fourth Proportional to 440.58, 607.76 and 283.12

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Solution

The fourth proportional to 440.58, 607.76 and 283.12 is: 390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.58 : 607.76 = 283.12 : x
  2. Step 2: Convert to fraction form
    440.58/607.76 = 283.12/x
  3. Step 3: Cross multiply
    440.58x = 607.76 × 283.12
  4. Step 4: Simplify right side
    440.58x = 172,069.01
  5. Step 5: Solve for x
    x = 172,069.01/440.58
  6. Step 6: Final answer
    x = 390.55

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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.