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Finding the Fourth Proportional to 497.48, 746.10 and 204.89

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Solution

The fourth proportional to 497.48, 746.10 and 204.89 is: 307.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 746.10 = 204.89 : x
  2. Step 2: Convert to fraction form
    497.48/746.10 = 204.89/x
  3. Step 3: Cross multiply
    497.48x = 746.10 × 204.89
  4. Step 4: Simplify right side
    497.48x = 152,864.70
  5. Step 5: Solve for x
    x = 152,864.70/497.48
  6. Step 6: Final answer
    x = 307.28

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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.