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Finding the Fourth Proportional to 65.42, 90.16 and 43.56

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Solution

The fourth proportional to 65.42, 90.16 and 43.56 is: 60.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.42 : 90.16 = 43.56 : x
  2. Step 2: Convert to fraction form
    65.42/90.16 = 43.56/x
  3. Step 3: Cross multiply
    65.42x = 90.16 × 43.56
  4. Step 4: Simplify right side
    65.42x = 3,927.37
  5. Step 5: Solve for x
    x = 3,927.37/65.42
  6. Step 6: Final answer
    x = 60.03

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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.