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Finding the Fourth Proportional to 366.24, 504.90 and 307.30

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Solution

The fourth proportional to 366.24, 504.90 and 307.30 is: 423.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 504.90 = 307.30 : x
  2. Step 2: Convert to fraction form
    366.24/504.90 = 307.30/x
  3. Step 3: Cross multiply
    366.24x = 504.90 × 307.30
  4. Step 4: Simplify right side
    366.24x = 155,155.77
  5. Step 5: Solve for x
    x = 155,155.77/366.24
  6. Step 6: Final answer
    x = 423.65

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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.