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Finding the Fourth Proportional to 228.25, 314.99 and 135.06

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Solution

The fourth proportional to 228.25, 314.99 and 135.06 is: 186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.25 : 314.99 = 135.06 : x
  2. Step 2: Convert to fraction form
    228.25/314.99 = 135.06/x
  3. Step 3: Cross multiply
    228.25x = 314.99 × 135.06
  4. Step 4: Simplify right side
    228.25x = 42,542.55
  5. Step 5: Solve for x
    x = 42,542.55/228.25
  6. Step 6: Final answer
    x = 186.39

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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.