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Finding the Fourth Proportional to 358.46, 534.10 and 342.74

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Solution

The fourth proportional to 358.46, 534.10 and 342.74 is: 510.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.46 : 534.10 = 342.74 : x
  2. Step 2: Convert to fraction form
    358.46/534.10 = 342.74/x
  3. Step 3: Cross multiply
    358.46x = 534.10 × 342.74
  4. Step 4: Simplify right side
    358.46x = 183,057.43
  5. Step 5: Solve for x
    x = 183,057.43/358.46
  6. Step 6: Final answer
    x = 510.68

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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.