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Finding the Fourth Proportional to 527.18, 727.55 and 291.18

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Solution

The fourth proportional to 527.18, 727.55 and 291.18 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.18 : 727.55 = 291.18 : x
  2. Step 2: Convert to fraction form
    527.18/727.55 = 291.18/x
  3. Step 3: Cross multiply
    527.18x = 727.55 × 291.18
  4. Step 4: Simplify right side
    527.18x = 211,846.28
  5. Step 5: Solve for x
    x = 211,846.28/527.18
  6. Step 6: Final answer
    x = 401.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.