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Finding the Fourth Proportional to 526.65, 789.99 and 141.90

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Solution

The fourth proportional to 526.65, 789.99 and 141.90 is: 212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.65 : 789.99 = 141.90 : x
  2. Step 2: Convert to fraction form
    526.65/789.99 = 141.90/x
  3. Step 3: Cross multiply
    526.65x = 789.99 × 141.90
  4. Step 4: Simplify right side
    526.65x = 112,099.58
  5. Step 5: Solve for x
    x = 112,099.58/526.65
  6. Step 6: Final answer
    x = 212.85

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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.