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Finding the Fourth Proportional to 553.65, 830.32 and 293.52

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Solution

The fourth proportional to 553.65, 830.32 and 293.52 is: 440.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.65 : 830.32 = 293.52 : x
  2. Step 2: Convert to fraction form
    553.65/830.32 = 293.52/x
  3. Step 3: Cross multiply
    553.65x = 830.32 × 293.52
  4. Step 4: Simplify right side
    553.65x = 243,717.91
  5. Step 5: Solve for x
    x = 243,717.91/553.65
  6. Step 6: Final answer
    x = 440.20

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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.