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Finding the Fourth Proportional to 240.16, 362.30 and 228.80

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Solution

The fourth proportional to 240.16, 362.30 and 228.80 is: 345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.16 : 362.30 = 228.80 : x
  2. Step 2: Convert to fraction form
    240.16/362.30 = 228.80/x
  3. Step 3: Cross multiply
    240.16x = 362.30 × 228.80
  4. Step 4: Simplify right side
    240.16x = 82,894.24
  5. Step 5: Solve for x
    x = 82,894.24/240.16
  6. Step 6: Final answer
    x = 345.16

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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.