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Finding the Fourth Proportional to 488.00, 731.23 and 342.00

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Solution

The fourth proportional to 488.00, 731.23 and 342.00 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.00 : 731.23 = 342.00 : x
  2. Step 2: Convert to fraction form
    488.00/731.23 = 342.00/x
  3. Step 3: Cross multiply
    488.00x = 731.23 × 342.00
  4. Step 4: Simplify right side
    488.00x = 250,077.75
  5. Step 5: Solve for x
    x = 250,077.75/488.00
  6. Step 6: Final answer
    x = 512.45

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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.