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Finding the Fourth Proportional to 527.13, 790.90 and 266.99

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Solution

The fourth proportional to 527.13, 790.90 and 266.99 is: 400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.13 : 790.90 = 266.99 : x
  2. Step 2: Convert to fraction form
    527.13/790.90 = 266.99/x
  3. Step 3: Cross multiply
    527.13x = 790.90 × 266.99
  4. Step 4: Simplify right side
    527.13x = 211,158.44
  5. Step 5: Solve for x
    x = 211,158.44/527.13
  6. Step 6: Final answer
    x = 400.59

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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.