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Finding the Fourth Proportional to 434.24, 599.40 and 287.07

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Solution

The fourth proportional to 434.24, 599.40 and 287.07 is: 396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.24 : 599.40 = 287.07 : x
  2. Step 2: Convert to fraction form
    434.24/599.40 = 287.07/x
  3. Step 3: Cross multiply
    434.24x = 599.40 × 287.07
  4. Step 4: Simplify right side
    434.24x = 172,069.76
  5. Step 5: Solve for x
    x = 172,069.76/434.24
  6. Step 6: Final answer
    x = 396.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.