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Finding the Fourth Proportional to 488.55, 732.82 and 141.93

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Solution

The fourth proportional to 488.55, 732.82 and 141.93 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.55 : 732.82 = 141.93 : x
  2. Step 2: Convert to fraction form
    488.55/732.82 = 141.93/x
  3. Step 3: Cross multiply
    488.55x = 732.82 × 141.93
  4. Step 4: Simplify right side
    488.55x = 104,009.14
  5. Step 5: Solve for x
    x = 104,009.14/488.55
  6. Step 6: Final answer
    x = 212.89

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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.