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Finding the Fourth Proportional to 345.36, 477.12 and 257.88

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Solution

The fourth proportional to 345.36, 477.12 and 257.88 is: 356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.36 : 477.12 = 257.88 : x
  2. Step 2: Convert to fraction form
    345.36/477.12 = 257.88/x
  3. Step 3: Cross multiply
    345.36x = 477.12 × 257.88
  4. Step 4: Simplify right side
    345.36x = 123,039.71
  5. Step 5: Solve for x
    x = 123,039.71/345.36
  6. Step 6: Final answer
    x = 356.27

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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.