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Finding the Fourth Proportional to 148.04, 223.31 and 139.16

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Solution

The fourth proportional to 148.04, 223.31 and 139.16 is: 209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.04 : 223.31 = 139.16 : x
  2. Step 2: Convert to fraction form
    148.04/223.31 = 139.16/x
  3. Step 3: Cross multiply
    148.04x = 223.31 × 139.16
  4. Step 4: Simplify right side
    148.04x = 31,075.82
  5. Step 5: Solve for x
    x = 31,075.82/148.04
  6. Step 6: Final answer
    x = 209.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.