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Finding the Fourth Proportional to 392.64, 585.88 and 358.08

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Solution

The fourth proportional to 392.64, 585.88 and 358.08 is: 534.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.64 : 585.88 = 358.08 : x
  2. Step 2: Convert to fraction form
    392.64/585.88 = 358.08/x
  3. Step 3: Cross multiply
    392.64x = 585.88 × 358.08
  4. Step 4: Simplify right side
    392.64x = 209,791.91
  5. Step 5: Solve for x
    x = 209,791.91/392.64
  6. Step 6: Final answer
    x = 534.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.