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Finding the Fourth Proportional to 266.34, 399.54 and 242.88

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Solution

The fourth proportional to 266.34, 399.54 and 242.88 is: 364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 399.54 = 242.88 : x
  2. Step 2: Convert to fraction form
    266.34/399.54 = 242.88/x
  3. Step 3: Cross multiply
    266.34x = 399.54 × 242.88
  4. Step 4: Simplify right side
    266.34x = 97,040.28
  5. Step 5: Solve for x
    x = 97,040.28/266.34
  6. Step 6: Final answer
    x = 364.35

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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.