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Finding the Fourth Proportional to 288.90, 435.47 and 272.17

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Solution

The fourth proportional to 288.90, 435.47 and 272.17 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 435.47 = 272.17 : x
  2. Step 2: Convert to fraction form
    288.90/435.47 = 272.17/x
  3. Step 3: Cross multiply
    288.90x = 435.47 × 272.17
  4. Step 4: Simplify right side
    288.90x = 118,521.87
  5. Step 5: Solve for x
    x = 118,521.87/288.90
  6. Step 6: Final answer
    x = 410.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.