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Finding the Fourth Proportional to 65.51, 90.39 and 42.22

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Solution

The fourth proportional to 65.51, 90.39 and 42.22 is: 58.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.51 : 90.39 = 42.22 : x
  2. Step 2: Convert to fraction form
    65.51/90.39 = 42.22/x
  3. Step 3: Cross multiply
    65.51x = 90.39 × 42.22
  4. Step 4: Simplify right side
    65.51x = 3,816.27
  5. Step 5: Solve for x
    x = 3,816.27/65.51
  6. Step 6: Final answer
    x = 58.25

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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.