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Finding the Fourth Proportional to 287.80, 432.60 and 266.20

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Solution

The fourth proportional to 287.80, 432.60 and 266.20 is: 400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.80 : 432.60 = 266.20 : x
  2. Step 2: Convert to fraction form
    287.80/432.60 = 266.20/x
  3. Step 3: Cross multiply
    287.80x = 432.60 × 266.20
  4. Step 4: Simplify right side
    287.80x = 115,158.12
  5. Step 5: Solve for x
    x = 115,158.12/287.80
  6. Step 6: Final answer
    x = 400.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.