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Finding the Fourth Proportional to 157.48, 235.77 and 106.02

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Solution

The fourth proportional to 157.48, 235.77 and 106.02 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.48 : 235.77 = 106.02 : x
  2. Step 2: Convert to fraction form
    157.48/235.77 = 106.02/x
  3. Step 3: Cross multiply
    157.48x = 235.77 × 106.02
  4. Step 4: Simplify right side
    157.48x = 24,994.89
  5. Step 5: Solve for x
    x = 24,994.89/157.48
  6. Step 6: Final answer
    x = 158.72

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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.