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Finding the Fourth Proportional to 287.04, 432.69 and 239.25

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Solution

The fourth proportional to 287.04, 432.69 and 239.25 is: 360.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.04 : 432.69 = 239.25 : x
  2. Step 2: Convert to fraction form
    287.04/432.69 = 239.25/x
  3. Step 3: Cross multiply
    287.04x = 432.69 × 239.25
  4. Step 4: Simplify right side
    287.04x = 103,521.08
  5. Step 5: Solve for x
    x = 103,521.08/287.04
  6. Step 6: Final answer
    x = 360.65

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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.