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Finding the Fourth Proportional to 230.39, 317.65 and 147.36

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Solution

The fourth proportional to 230.39, 317.65 and 147.36 is: 203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.39 : 317.65 = 147.36 : x
  2. Step 2: Convert to fraction form
    230.39/317.65 = 147.36/x
  3. Step 3: Cross multiply
    230.39x = 317.65 × 147.36
  4. Step 4: Simplify right side
    230.39x = 46,808.90
  5. Step 5: Solve for x
    x = 46,808.90/230.39
  6. Step 6: Final answer
    x = 203.17

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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.