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Finding the Fourth Proportional to 400.47, 599.14 and 354.30

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Solution

The fourth proportional to 400.47, 599.14 and 354.30 is: 530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.47 : 599.14 = 354.30 : x
  2. Step 2: Convert to fraction form
    400.47/599.14 = 354.30/x
  3. Step 3: Cross multiply
    400.47x = 599.14 × 354.30
  4. Step 4: Simplify right side
    400.47x = 212,275.30
  5. Step 5: Solve for x
    x = 212,275.30/400.47
  6. Step 6: Final answer
    x = 530.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.