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Finding the Fourth Proportional to 374.81, 562.14 and 140.50

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Solution

The fourth proportional to 374.81, 562.14 and 140.50 is: 210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.81 : 562.14 = 140.50 : x
  2. Step 2: Convert to fraction form
    374.81/562.14 = 140.50/x
  3. Step 3: Cross multiply
    374.81x = 562.14 × 140.50
  4. Step 4: Simplify right side
    374.81x = 78,980.67
  5. Step 5: Solve for x
    x = 78,980.67/374.81
  6. Step 6: Final answer
    x = 210.72

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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.