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Finding the Fourth Proportional to 157.86, 235.44 and 152.46

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Solution

The fourth proportional to 157.86, 235.44 and 152.46 is: 227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.86 : 235.44 = 152.46 : x
  2. Step 2: Convert to fraction form
    157.86/235.44 = 152.46/x
  3. Step 3: Cross multiply
    157.86x = 235.44 × 152.46
  4. Step 4: Simplify right side
    157.86x = 35,895.18
  5. Step 5: Solve for x
    x = 35,895.18/157.86
  6. Step 6: Final answer
    x = 227.39

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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.