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Finding the Fourth Proportional to 288.76, 432.98 and 266.28

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Solution

The fourth proportional to 288.76, 432.98 and 266.28 is: 399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.76 : 432.98 = 266.28 : x
  2. Step 2: Convert to fraction form
    288.76/432.98 = 266.28/x
  3. Step 3: Cross multiply
    288.76x = 432.98 × 266.28
  4. Step 4: Simplify right side
    288.76x = 115,293.91
  5. Step 5: Solve for x
    x = 115,293.91/288.76
  6. Step 6: Final answer
    x = 399.27

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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.