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Finding the Fourth Proportional to 228.35, 314.16 and 179.13

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Solution

The fourth proportional to 228.35, 314.16 and 179.13 is: 246.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.35 : 314.16 = 179.13 : x
  2. Step 2: Convert to fraction form
    228.35/314.16 = 179.13/x
  3. Step 3: Cross multiply
    228.35x = 314.16 × 179.13
  4. Step 4: Simplify right side
    228.35x = 56,275.48
  5. Step 5: Solve for x
    x = 56,275.48/228.35
  6. Step 6: Final answer
    x = 246.45

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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.