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Finding the Fourth Proportional to 315.19, 470.49 and 292.03

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Solution

The fourth proportional to 315.19, 470.49 and 292.03 is: 435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.19 : 470.49 = 292.03 : x
  2. Step 2: Convert to fraction form
    315.19/470.49 = 292.03/x
  3. Step 3: Cross multiply
    315.19x = 470.49 × 292.03
  4. Step 4: Simplify right side
    315.19x = 137,395.73
  5. Step 5: Solve for x
    x = 137,395.73/315.19
  6. Step 6: Final answer
    x = 435.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.