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Finding the Fourth Proportional to 228.08, 314.91 and 175.54

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Solution

The fourth proportional to 228.08, 314.91 and 175.54 is: 242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.08 : 314.91 = 175.54 : x
  2. Step 2: Convert to fraction form
    228.08/314.91 = 175.54/x
  3. Step 3: Cross multiply
    228.08x = 314.91 × 175.54
  4. Step 4: Simplify right side
    228.08x = 55,277.66
  5. Step 5: Solve for x
    x = 55,277.66/228.08
  6. Step 6: Final answer
    x = 242.36

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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.