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Finding the Fourth Proportional to 377.79, 521.01 and 312.18

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Solution

The fourth proportional to 377.79, 521.01 and 312.18 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.79 : 521.01 = 312.18 : x
  2. Step 2: Convert to fraction form
    377.79/521.01 = 312.18/x
  3. Step 3: Cross multiply
    377.79x = 521.01 × 312.18
  4. Step 4: Simplify right side
    377.79x = 162,648.90
  5. Step 5: Solve for x
    x = 162,648.90/377.79
  6. Step 6: Final answer
    x = 430.53

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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.