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Finding the Fourth Proportional to 229.61, 346.22 and 210.47

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Solution

The fourth proportional to 229.61, 346.22 and 210.47 is: 317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 346.22 = 210.47 : x
  2. Step 2: Convert to fraction form
    229.61/346.22 = 210.47/x
  3. Step 3: Cross multiply
    229.61x = 346.22 × 210.47
  4. Step 4: Simplify right side
    229.61x = 72,868.92
  5. Step 5: Solve for x
    x = 72,868.92/229.61
  6. Step 6: Final answer
    x = 317.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.