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Finding the Fourth Proportional to 559.16, 838.81 and 148.30

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Solution

The fourth proportional to 559.16, 838.81 and 148.30 is: 222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.16 : 838.81 = 148.30 : x
  2. Step 2: Convert to fraction form
    559.16/838.81 = 148.30/x
  3. Step 3: Cross multiply
    559.16x = 838.81 × 148.30
  4. Step 4: Simplify right side
    559.16x = 124,395.52
  5. Step 5: Solve for x
    x = 124,395.52/559.16
  6. Step 6: Final answer
    x = 222.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.