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Finding the Fourth Proportional to 40.02, 59.70 and 35.16

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Solution

The fourth proportional to 40.02, 59.70 and 35.16 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.02 : 59.70 = 35.16 : x
  2. Step 2: Convert to fraction form
    40.02/59.70 = 35.16/x
  3. Step 3: Cross multiply
    40.02x = 59.70 × 35.16
  4. Step 4: Simplify right side
    40.02x = 2,099.05
  5. Step 5: Solve for x
    x = 2,099.05/40.02
  6. Step 6: Final answer
    x = 52.45

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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.