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Finding the Fourth Proportional to 374.12, 560.80 and 142.95

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Solution

The fourth proportional to 374.12, 560.80 and 142.95 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.12 : 560.80 = 142.95 : x
  2. Step 2: Convert to fraction form
    374.12/560.80 = 142.95/x
  3. Step 3: Cross multiply
    374.12x = 560.80 × 142.95
  4. Step 4: Simplify right side
    374.12x = 80,166.36
  5. Step 5: Solve for x
    x = 80,166.36/374.12
  6. Step 6: Final answer
    x = 214.28

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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.