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Finding the Fourth Proportional to 292.06, 435.43 and 288.41

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Solution

The fourth proportional to 292.06, 435.43 and 288.41 is: 429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.06 : 435.43 = 288.41 : x
  2. Step 2: Convert to fraction form
    292.06/435.43 = 288.41/x
  3. Step 3: Cross multiply
    292.06x = 435.43 × 288.41
  4. Step 4: Simplify right side
    292.06x = 125,581.38
  5. Step 5: Solve for x
    x = 125,581.38/292.06
  6. Step 6: Final answer
    x = 429.99

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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.