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Finding the Fourth Proportional to 378.83, 564.70 and 358.31

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Solution

The fourth proportional to 378.83, 564.70 and 358.31 is: 534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.83 : 564.70 = 358.31 : x
  2. Step 2: Convert to fraction form
    378.83/564.70 = 358.31/x
  3. Step 3: Cross multiply
    378.83x = 564.70 × 358.31
  4. Step 4: Simplify right side
    378.83x = 202,337.66
  5. Step 5: Solve for x
    x = 202,337.66/378.83
  6. Step 6: Final answer
    x = 534.11

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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.