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Finding the Fourth Proportional to 335.01, 505.02 and 312.71

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Solution

The fourth proportional to 335.01, 505.02 and 312.71 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.01 : 505.02 = 312.71 : x
  2. Step 2: Convert to fraction form
    335.01/505.02 = 312.71/x
  3. Step 3: Cross multiply
    335.01x = 505.02 × 312.71
  4. Step 4: Simplify right side
    335.01x = 157,920.72
  5. Step 5: Solve for x
    x = 157,920.72/335.01
  6. Step 6: Final answer
    x = 471.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.