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Finding the Fourth Proportional to 356.24, 534.34 and 139.76

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Solution

The fourth proportional to 356.24, 534.34 and 139.76 is: 209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.24 : 534.34 = 139.76 : x
  2. Step 2: Convert to fraction form
    356.24/534.34 = 139.76/x
  3. Step 3: Cross multiply
    356.24x = 534.34 × 139.76
  4. Step 4: Simplify right side
    356.24x = 74,679.36
  5. Step 5: Solve for x
    x = 74,679.36/356.24
  6. Step 6: Final answer
    x = 209.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.