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Finding the Fourth Proportional to 296.75, 410.48 and 278.16

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Solution

The fourth proportional to 296.75, 410.48 and 278.16 is: 384.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.75 : 410.48 = 278.16 : x
  2. Step 2: Convert to fraction form
    296.75/410.48 = 278.16/x
  3. Step 3: Cross multiply
    296.75x = 410.48 × 278.16
  4. Step 4: Simplify right side
    296.75x = 114,177.73
  5. Step 5: Solve for x
    x = 114,177.73/296.75
  6. Step 6: Final answer
    x = 384.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.