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Finding the Fourth Proportional to 291.79, 401.47 and 252.32

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Solution

The fourth proportional to 291.79, 401.47 and 252.32 is: 347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.79 : 401.47 = 252.32 : x
  2. Step 2: Convert to fraction form
    291.79/401.47 = 252.32/x
  3. Step 3: Cross multiply
    291.79x = 401.47 × 252.32
  4. Step 4: Simplify right side
    291.79x = 101,298.70
  5. Step 5: Solve for x
    x = 101,298.70/291.79
  6. Step 6: Final answer
    x = 347.17

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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.