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Finding the Fourth Proportional to 374.49, 560.67 and 283.56

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Solution

The fourth proportional to 374.49, 560.67 and 283.56 is: 424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.49 : 560.67 = 283.56 : x
  2. Step 2: Convert to fraction form
    374.49/560.67 = 283.56/x
  3. Step 3: Cross multiply
    374.49x = 560.67 × 283.56
  4. Step 4: Simplify right side
    374.49x = 158,983.59
  5. Step 5: Solve for x
    x = 158,983.59/374.49
  6. Step 6: Final answer
    x = 424.53

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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.