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Finding the Fourth Proportional to 374.24, 560.64 and 313.76

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Solution

The fourth proportional to 374.24, 560.64 and 313.76 is: 470.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.24 : 560.64 = 313.76 : x
  2. Step 2: Convert to fraction form
    374.24/560.64 = 313.76/x
  3. Step 3: Cross multiply
    374.24x = 560.64 × 313.76
  4. Step 4: Simplify right side
    374.24x = 175,906.41
  5. Step 5: Solve for x
    x = 175,906.41/374.24
  6. Step 6: Final answer
    x = 470.04

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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.