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Finding the Fourth Proportional to 312.84, 431.40 and 257.52

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Solution

The fourth proportional to 312.84, 431.40 and 257.52 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 431.40 = 257.52 : x
  2. Step 2: Convert to fraction form
    312.84/431.40 = 257.52/x
  3. Step 3: Cross multiply
    312.84x = 431.40 × 257.52
  4. Step 4: Simplify right side
    312.84x = 111,094.13
  5. Step 5: Solve for x
    x = 111,094.13/312.84
  6. Step 6: Final answer
    x = 355.11

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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.