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Finding the Fourth Proportional to 157.80, 235.56 and 146.54

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Solution

The fourth proportional to 157.80, 235.56 and 146.54 is: 218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.80 : 235.56 = 146.54 : x
  2. Step 2: Convert to fraction form
    157.80/235.56 = 146.54/x
  3. Step 3: Cross multiply
    157.80x = 235.56 × 146.54
  4. Step 4: Simplify right side
    157.80x = 34,518.96
  5. Step 5: Solve for x
    x = 34,518.96/157.80
  6. Step 6: Final answer
    x = 218.75

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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.