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Finding the Fourth Proportional to 145.38, 200.54 and 90.08

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Solution

The fourth proportional to 145.38, 200.54 and 90.08 is: 124.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 200.54 = 90.08 : x
  2. Step 2: Convert to fraction form
    145.38/200.54 = 90.08/x
  3. Step 3: Cross multiply
    145.38x = 200.54 × 90.08
  4. Step 4: Simplify right side
    145.38x = 18,064.64
  5. Step 5: Solve for x
    x = 18,064.64/145.38
  6. Step 6: Final answer
    x = 124.26

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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.