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Finding the Fourth Proportional to 287.13, 432.60 and 264.99

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Solution

The fourth proportional to 287.13, 432.60 and 264.99 is: 399.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.13 : 432.60 = 264.99 : x
  2. Step 2: Convert to fraction form
    287.13/432.60 = 264.99/x
  3. Step 3: Cross multiply
    287.13x = 432.60 × 264.99
  4. Step 4: Simplify right side
    287.13x = 114,634.67
  5. Step 5: Solve for x
    x = 114,634.67/287.13
  6. Step 6: Final answer
    x = 399.24

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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.