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Finding the Fourth Proportional to 291.24, 402.15 and 278.03

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Solution

The fourth proportional to 291.24, 402.15 and 278.03 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 402.15 = 278.03 : x
  2. Step 2: Convert to fraction form
    291.24/402.15 = 278.03/x
  3. Step 3: Cross multiply
    291.24x = 402.15 × 278.03
  4. Step 4: Simplify right side
    291.24x = 111,811.81
  5. Step 5: Solve for x
    x = 111,811.81/291.24
  6. Step 6: Final answer
    x = 383.92

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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.