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Finding the Fourth Proportional to 374.51, 562.17 and 271.85

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Solution

The fourth proportional to 374.51, 562.17 and 271.85 is: 408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.51 : 562.17 = 271.85 : x
  2. Step 2: Convert to fraction form
    374.51/562.17 = 271.85/x
  3. Step 3: Cross multiply
    374.51x = 562.17 × 271.85
  4. Step 4: Simplify right side
    374.51x = 152,823.10
  5. Step 5: Solve for x
    x = 152,823.10/374.51
  6. Step 6: Final answer
    x = 408.07

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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.