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Finding the Fourth Proportional to 156.75, 235.28 and 65.42

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Solution

The fourth proportional to 156.75, 235.28 and 65.42 is: 98.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.75 : 235.28 = 65.42 : x
  2. Step 2: Convert to fraction form
    156.75/235.28 = 65.42/x
  3. Step 3: Cross multiply
    156.75x = 235.28 × 65.42
  4. Step 4: Simplify right side
    156.75x = 15,392.28
  5. Step 5: Solve for x
    x = 15,392.28/156.75
  6. Step 6: Final answer
    x = 98.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.