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Finding the Fourth Proportional to 152.57, 227.56 and 148.01

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Solution

The fourth proportional to 152.57, 227.56 and 148.01 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 227.56 = 148.01 : x
  2. Step 2: Convert to fraction form
    152.57/227.56 = 148.01/x
  3. Step 3: Cross multiply
    152.57x = 227.56 × 148.01
  4. Step 4: Simplify right side
    152.57x = 33,681.16
  5. Step 5: Solve for x
    x = 33,681.16/152.57
  6. Step 6: Final answer
    x = 220.76

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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.