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Finding the Fourth Proportional to 292.79, 435.94 and 291.42

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Solution

The fourth proportional to 292.79, 435.94 and 291.42 is: 433.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.79 : 435.94 = 291.42 : x
  2. Step 2: Convert to fraction form
    292.79/435.94 = 291.42/x
  3. Step 3: Cross multiply
    292.79x = 435.94 × 291.42
  4. Step 4: Simplify right side
    292.79x = 127,041.63
  5. Step 5: Solve for x
    x = 127,041.63/292.79
  6. Step 6: Final answer
    x = 433.90

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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.