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Finding the Fourth Proportional to 228.57, 315.47 and 145.77

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Solution

The fourth proportional to 228.57, 315.47 and 145.77 is: 201.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.57 : 315.47 = 145.77 : x
  2. Step 2: Convert to fraction form
    228.57/315.47 = 145.77/x
  3. Step 3: Cross multiply
    228.57x = 315.47 × 145.77
  4. Step 4: Simplify right side
    228.57x = 45,986.06
  5. Step 5: Solve for x
    x = 45,986.06/228.57
  6. Step 6: Final answer
    x = 201.19

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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.