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Finding the Fourth Proportional to 292.83, 438.69 and 148.65

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Solution

The fourth proportional to 292.83, 438.69 and 148.65 is: 222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 438.69 = 148.65 : x
  2. Step 2: Convert to fraction form
    292.83/438.69 = 148.65/x
  3. Step 3: Cross multiply
    292.83x = 438.69 × 148.65
  4. Step 4: Simplify right side
    292.83x = 65,211.27
  5. Step 5: Solve for x
    x = 65,211.27/292.83
  6. Step 6: Final answer
    x = 222.69

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