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Finding the Fourth Proportional to 295.62, 440.84 and 288.63

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Solution

The fourth proportional to 295.62, 440.84 and 288.63 is: 430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.62 : 440.84 = 288.63 : x
  2. Step 2: Convert to fraction form
    295.62/440.84 = 288.63/x
  3. Step 3: Cross multiply
    295.62x = 440.84 × 288.63
  4. Step 4: Simplify right side
    295.62x = 127,242.57
  5. Step 5: Solve for x
    x = 127,242.57/295.62
  6. Step 6: Final answer
    x = 430.43

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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.