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Finding the Fourth Proportional to 500.30, 689.46 and 360.14

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Solution

The fourth proportional to 500.30, 689.46 and 360.14 is: 496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.30 : 689.46 = 360.14 : x
  2. Step 2: Convert to fraction form
    500.30/689.46 = 360.14/x
  3. Step 3: Cross multiply
    500.30x = 689.46 × 360.14
  4. Step 4: Simplify right side
    500.30x = 248,302.12
  5. Step 5: Solve for x
    x = 248,302.12/500.30
  6. Step 6: Final answer
    x = 496.31

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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.