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Finding the Fourth Proportional to 488.60, 732.71 and 141.82

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Solution

The fourth proportional to 488.60, 732.71 and 141.82 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.60 : 732.71 = 141.82 : x
  2. Step 2: Convert to fraction form
    488.60/732.71 = 141.82/x
  3. Step 3: Cross multiply
    488.60x = 732.71 × 141.82
  4. Step 4: Simplify right side
    488.60x = 103,911.45
  5. Step 5: Solve for x
    x = 103,911.45/488.60
  6. Step 6: Final answer
    x = 212.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.