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Finding the Fourth Proportional to 373.48, 559.89 and 282.35

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Solution

The fourth proportional to 373.48, 559.89 and 282.35 is: 423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.48 : 559.89 = 282.35 : x
  2. Step 2: Convert to fraction form
    373.48/559.89 = 282.35/x
  3. Step 3: Cross multiply
    373.48x = 559.89 × 282.35
  4. Step 4: Simplify right side
    373.48x = 158,084.94
  5. Step 5: Solve for x
    x = 158,084.94/373.48
  6. Step 6: Final answer
    x = 423.28

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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.