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Finding the Fourth Proportional to 387.90, 535.68 and 277.74

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Solution

The fourth proportional to 387.90, 535.68 and 277.74 is: 383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.90 : 535.68 = 277.74 : x
  2. Step 2: Convert to fraction form
    387.90/535.68 = 277.74/x
  3. Step 3: Cross multiply
    387.90x = 535.68 × 277.74
  4. Step 4: Simplify right side
    387.90x = 148,779.76
  5. Step 5: Solve for x
    x = 148,779.76/387.90
  6. Step 6: Final answer
    x = 383.55

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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.