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Finding the Fourth Proportional to 152.22, 208.91 and 148.17

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Solution

The fourth proportional to 152.22, 208.91 and 148.17 is: 203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 208.91 = 148.17 : x
  2. Step 2: Convert to fraction form
    152.22/208.91 = 148.17/x
  3. Step 3: Cross multiply
    152.22x = 208.91 × 148.17
  4. Step 4: Simplify right side
    152.22x = 30,954.19
  5. Step 5: Solve for x
    x = 30,954.19/152.22
  6. Step 6: Final answer
    x = 203.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.