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Finding the Fourth Proportional to 265.42, 366.30 and 154.91

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Solution

The fourth proportional to 265.42, 366.30 and 154.91 is: 213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.42 : 366.30 = 154.91 : x
  2. Step 2: Convert to fraction form
    265.42/366.30 = 154.91/x
  3. Step 3: Cross multiply
    265.42x = 366.30 × 154.91
  4. Step 4: Simplify right side
    265.42x = 56,743.53
  5. Step 5: Solve for x
    x = 56,743.53/265.42
  6. Step 6: Final answer
    x = 213.79

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