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Finding the Fourth Proportional to 230.17, 317.45 and 202.48

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Solution

The fourth proportional to 230.17, 317.45 and 202.48 is: 279.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.17 : 317.45 = 202.48 : x
  2. Step 2: Convert to fraction form
    230.17/317.45 = 202.48/x
  3. Step 3: Cross multiply
    230.17x = 317.45 × 202.48
  4. Step 4: Simplify right side
    230.17x = 64,277.28
  5. Step 5: Solve for x
    x = 64,277.28/230.17
  6. Step 6: Final answer
    x = 279.26

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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.