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Finding the Fourth Proportional to 289.02, 432.90 and 266.54

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Solution

The fourth proportional to 289.02, 432.90 and 266.54 is: 399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 432.90 = 266.54 : x
  2. Step 2: Convert to fraction form
    289.02/432.90 = 266.54/x
  3. Step 3: Cross multiply
    289.02x = 432.90 × 266.54
  4. Step 4: Simplify right side
    289.02x = 115,385.17
  5. Step 5: Solve for x
    x = 115,385.17/289.02
  6. Step 6: Final answer
    x = 399.23

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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.