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Finding the Fourth Proportional to 358.10, 534.54 and 342.32

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Solution

The fourth proportional to 358.10, 534.54 and 342.32 is: 510.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.10 : 534.54 = 342.32 : x
  2. Step 2: Convert to fraction form
    358.10/534.54 = 342.32/x
  3. Step 3: Cross multiply
    358.10x = 534.54 × 342.32
  4. Step 4: Simplify right side
    358.10x = 182,983.73
  5. Step 5: Solve for x
    x = 182,983.73/358.10
  6. Step 6: Final answer
    x = 510.99

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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.