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Finding the Fourth Proportional to 145.20, 200.47 and 90.02

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Solution

The fourth proportional to 145.20, 200.47 and 90.02 is: 124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.20 : 200.47 = 90.02 : x
  2. Step 2: Convert to fraction form
    145.20/200.47 = 90.02/x
  3. Step 3: Cross multiply
    145.20x = 200.47 × 90.02
  4. Step 4: Simplify right side
    145.20x = 18,045.31
  5. Step 5: Solve for x
    x = 18,045.31/145.20
  6. Step 6: Final answer
    x = 124.28

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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.