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Finding the Fourth Proportional to 313.78, 432.87 and 220.58

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Solution

The fourth proportional to 313.78, 432.87 and 220.58 is: 304.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 432.87 = 220.58 : x
  2. Step 2: Convert to fraction form
    313.78/432.87 = 220.58/x
  3. Step 3: Cross multiply
    313.78x = 432.87 × 220.58
  4. Step 4: Simplify right side
    313.78x = 95,484.17
  5. Step 5: Solve for x
    x = 95,484.17/313.78
  6. Step 6: Final answer
    x = 304.31

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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.