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Finding the Fourth Proportional to 145.07, 200.10 and 92.63

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Solution

The fourth proportional to 145.07, 200.10 and 92.63 is: 127.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.07 : 200.10 = 92.63 : x
  2. Step 2: Convert to fraction form
    145.07/200.10 = 92.63/x
  3. Step 3: Cross multiply
    145.07x = 200.10 × 92.63
  4. Step 4: Simplify right side
    145.07x = 18,535.26
  5. Step 5: Solve for x
    x = 18,535.26/145.07
  6. Step 6: Final answer
    x = 127.77

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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.