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Finding the Fourth Proportional to 424.47, 585.40 and 318.08

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Solution

The fourth proportional to 424.47, 585.40 and 318.08 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.47 : 585.40 = 318.08 : x
  2. Step 2: Convert to fraction form
    424.47/585.40 = 318.08/x
  3. Step 3: Cross multiply
    424.47x = 585.40 × 318.08
  4. Step 4: Simplify right side
    424.47x = 186,202.90
  5. Step 5: Solve for x
    x = 186,202.90/424.47
  6. Step 6: Final answer
    x = 438.68

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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.