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Finding the Fourth Proportional to 345.40, 477.26 and 272.30

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Solution

The fourth proportional to 345.40, 477.26 and 272.30 is: 376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.40 : 477.26 = 272.30 : x
  2. Step 2: Convert to fraction form
    345.40/477.26 = 272.30/x
  3. Step 3: Cross multiply
    345.40x = 477.26 × 272.30
  4. Step 4: Simplify right side
    345.40x = 129,957.90
  5. Step 5: Solve for x
    x = 129,957.90/345.40
  6. Step 6: Final answer
    x = 376.25

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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.