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Finding the Fourth Proportional to 312.95, 432.08 and 202.59

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Solution

The fourth proportional to 312.95, 432.08 and 202.59 is: 279.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.95 : 432.08 = 202.59 : x
  2. Step 2: Convert to fraction form
    312.95/432.08 = 202.59/x
  3. Step 3: Cross multiply
    312.95x = 432.08 × 202.59
  4. Step 4: Simplify right side
    312.95x = 87,534.07
  5. Step 5: Solve for x
    x = 87,534.07/312.95
  6. Step 6: Final answer
    x = 279.71

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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.