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Finding the Fourth Proportional to 295.53, 440.66 and 290.07

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Solution

The fourth proportional to 295.53, 440.66 and 290.07 is: 432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.53 : 440.66 = 290.07 : x
  2. Step 2: Convert to fraction form
    295.53/440.66 = 290.07/x
  3. Step 3: Cross multiply
    295.53x = 440.66 × 290.07
  4. Step 4: Simplify right side
    295.53x = 127,820.80
  5. Step 5: Solve for x
    x = 127,820.80/295.53
  6. Step 6: Final answer
    x = 432.51

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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.