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Finding the Fourth Proportional to 292.95, 404.60 and 219.51

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Solution

The fourth proportional to 292.95, 404.60 and 219.51 is: 303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.95 : 404.60 = 219.51 : x
  2. Step 2: Convert to fraction form
    292.95/404.60 = 219.51/x
  3. Step 3: Cross multiply
    292.95x = 404.60 × 219.51
  4. Step 4: Simplify right side
    292.95x = 88,812.65
  5. Step 5: Solve for x
    x = 88,812.65/292.95
  6. Step 6: Final answer
    x = 303.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.