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Finding the Fourth Proportional to 315.11, 473.57 and 228.57

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Solution

The fourth proportional to 315.11, 473.57 and 228.57 is: 343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.11 : 473.57 = 228.57 : x
  2. Step 2: Convert to fraction form
    315.11/473.57 = 228.57/x
  3. Step 3: Cross multiply
    315.11x = 473.57 × 228.57
  4. Step 4: Simplify right side
    315.11x = 108,242.75
  5. Step 5: Solve for x
    x = 108,242.75/315.11
  6. Step 6: Final answer
    x = 343.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.