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Finding the Fourth Proportional to 402.46, 555.21 and 277.93

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Solution

The fourth proportional to 402.46, 555.21 and 277.93 is: 383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.46 : 555.21 = 277.93 : x
  2. Step 2: Convert to fraction form
    402.46/555.21 = 277.93/x
  3. Step 3: Cross multiply
    402.46x = 555.21 × 277.93
  4. Step 4: Simplify right side
    402.46x = 154,309.52
  5. Step 5: Solve for x
    x = 154,309.52/402.46
  6. Step 6: Final answer
    x = 383.42

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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.