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Finding the Fourth Proportional to 425.18, 585.65 and 358.71

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Solution

The fourth proportional to 425.18, 585.65 and 358.71 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.18 : 585.65 = 358.71 : x
  2. Step 2: Convert to fraction form
    425.18/585.65 = 358.71/x
  3. Step 3: Cross multiply
    425.18x = 585.65 × 358.71
  4. Step 4: Simplify right side
    425.18x = 210,076.72
  5. Step 5: Solve for x
    x = 210,076.72/425.18
  6. Step 6: Final answer
    x = 494.09

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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.