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Finding the Fourth Proportional to 544.16, 814.40 and 370.40

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Solution

The fourth proportional to 544.16, 814.40 and 370.40 is: 554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.16 : 814.40 = 370.40 : x
  2. Step 2: Convert to fraction form
    544.16/814.40 = 370.40/x
  3. Step 3: Cross multiply
    544.16x = 814.40 × 370.40
  4. Step 4: Simplify right side
    544.16x = 301,653.76
  5. Step 5: Solve for x
    x = 301,653.76/544.16
  6. Step 6: Final answer
    x = 554.35

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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.