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Finding the Fourth Proportional to 289.27, 432.35 and 266.21

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Solution

The fourth proportional to 289.27, 432.35 and 266.21 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.27 : 432.35 = 266.21 : x
  2. Step 2: Convert to fraction form
    289.27/432.35 = 266.21/x
  3. Step 3: Cross multiply
    289.27x = 432.35 × 266.21
  4. Step 4: Simplify right side
    289.27x = 115,095.89
  5. Step 5: Solve for x
    x = 115,095.89/289.27
  6. Step 6: Final answer
    x = 397.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.