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Finding the Fourth Proportional to 349.57, 482.30 and 202.15

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Solution

The fourth proportional to 349.57, 482.30 and 202.15 is: 278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.57 : 482.30 = 202.15 : x
  2. Step 2: Convert to fraction form
    349.57/482.30 = 202.15/x
  3. Step 3: Cross multiply
    349.57x = 482.30 × 202.15
  4. Step 4: Simplify right side
    349.57x = 97,495.93
  5. Step 5: Solve for x
    x = 97,495.93/349.57
  6. Step 6: Final answer
    x = 278.90

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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.