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Finding the Fourth Proportional to 145.19, 200.05 and 127.57

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Solution

The fourth proportional to 145.19, 200.05 and 127.57 is: 175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 200.05 = 127.57 : x
  2. Step 2: Convert to fraction form
    145.19/200.05 = 127.57/x
  3. Step 3: Cross multiply
    145.19x = 200.05 × 127.57
  4. Step 4: Simplify right side
    145.19x = 25,520.38
  5. Step 5: Solve for x
    x = 25,520.38/145.19
  6. Step 6: Final answer
    x = 175.77

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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.