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Finding the Fourth Proportional to 335.42, 502.55 and 312.86

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Solution

The fourth proportional to 335.42, 502.55 and 312.86 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.42 : 502.55 = 312.86 : x
  2. Step 2: Convert to fraction form
    335.42/502.55 = 312.86/x
  3. Step 3: Cross multiply
    335.42x = 502.55 × 312.86
  4. Step 4: Simplify right side
    335.42x = 157,230.42
  5. Step 5: Solve for x
    x = 157,230.42/335.42
  6. Step 6: Final answer
    x = 468.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.