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Finding the Fourth Proportional to 474.76, 655.32 and 278.25

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Solution

The fourth proportional to 474.76, 655.32 and 278.25 is: 384.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.76 : 655.32 = 278.25 : x
  2. Step 2: Convert to fraction form
    474.76/655.32 = 278.25/x
  3. Step 3: Cross multiply
    474.76x = 655.32 × 278.25
  4. Step 4: Simplify right side
    474.76x = 182,342.79
  5. Step 5: Solve for x
    x = 182,342.79/474.76
  6. Step 6: Final answer
    x = 384.07

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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.