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Finding the Fourth Proportional to 158.10, 235.76 and 152.46

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Solution

The fourth proportional to 158.10, 235.76 and 152.46 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.10 : 235.76 = 152.46 : x
  2. Step 2: Convert to fraction form
    158.10/235.76 = 152.46/x
  3. Step 3: Cross multiply
    158.10x = 235.76 × 152.46
  4. Step 4: Simplify right side
    158.10x = 35,943.21
  5. Step 5: Solve for x
    x = 35,943.21/158.10
  6. Step 6: Final answer
    x = 227.34

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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.