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Finding the Fourth Proportional to 265.46, 399.67 and 242.78

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Solution

The fourth proportional to 265.46, 399.67 and 242.78 is: 365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 399.67 = 242.78 : x
  2. Step 2: Convert to fraction form
    265.46/399.67 = 242.78/x
  3. Step 3: Cross multiply
    265.46x = 399.67 × 242.78
  4. Step 4: Simplify right side
    265.46x = 97,030.67
  5. Step 5: Solve for x
    x = 97,030.67/265.46
  6. Step 6: Final answer
    x = 365.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.