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Finding the Fourth Proportional to 349.56, 521.88 and 288.81

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Solution

The fourth proportional to 349.56, 521.88 and 288.81 is: 431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.56 : 521.88 = 288.81 : x
  2. Step 2: Convert to fraction form
    349.56/521.88 = 288.81/x
  3. Step 3: Cross multiply
    349.56x = 521.88 × 288.81
  4. Step 4: Simplify right side
    349.56x = 150,720.11
  5. Step 5: Solve for x
    x = 150,720.11/349.56
  6. Step 6: Final answer
    x = 431.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.