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Finding the Fourth Proportional to 228.02, 314.64 and 134.75

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Solution

The fourth proportional to 228.02, 314.64 and 134.75 is: 185.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.02 : 314.64 = 134.75 : x
  2. Step 2: Convert to fraction form
    228.02/314.64 = 134.75/x
  3. Step 3: Cross multiply
    228.02x = 314.64 × 134.75
  4. Step 4: Simplify right side
    228.02x = 42,397.74
  5. Step 5: Solve for x
    x = 42,397.74/228.02
  6. Step 6: Final answer
    x = 185.94

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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.