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Finding the Fourth Proportional to 624.10, 935.19 and 299.14

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Solution

The fourth proportional to 624.10, 935.19 and 299.14 is: 448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.10 : 935.19 = 299.14 : x
  2. Step 2: Convert to fraction form
    624.10/935.19 = 299.14/x
  3. Step 3: Cross multiply
    624.10x = 935.19 × 299.14
  4. Step 4: Simplify right side
    624.10x = 279,752.74
  5. Step 5: Solve for x
    x = 279,752.74/624.10
  6. Step 6: Final answer
    x = 448.25

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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.