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Finding the Fourth Proportional to 440.52, 607.74 and 283.25

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Solution

The fourth proportional to 440.52, 607.74 and 283.25 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.52 : 607.74 = 283.25 : x
  2. Step 2: Convert to fraction form
    440.52/607.74 = 283.25/x
  3. Step 3: Cross multiply
    440.52x = 607.74 × 283.25
  4. Step 4: Simplify right side
    440.52x = 172,139.32
  5. Step 5: Solve for x
    x = 172,139.32/440.52
  6. Step 6: Final answer
    x = 390.76

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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.