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Finding the Fourth Proportional to 97.78, 145.77 and 90.04

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Solution

The fourth proportional to 97.78, 145.77 and 90.04 is: 134.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.78 : 145.77 = 90.04 : x
  2. Step 2: Convert to fraction form
    97.78/145.77 = 90.04/x
  3. Step 3: Cross multiply
    97.78x = 145.77 × 90.04
  4. Step 4: Simplify right side
    97.78x = 13,125.13
  5. Step 5: Solve for x
    x = 13,125.13/97.78
  6. Step 6: Final answer
    x = 134.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.