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Finding the Fourth Proportional to 307.19, 423.63 and 297.61

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Solution

The fourth proportional to 307.19, 423.63 and 297.61 is: 410.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.19 : 423.63 = 297.61 : x
  2. Step 2: Convert to fraction form
    307.19/423.63 = 297.61/x
  3. Step 3: Cross multiply
    307.19x = 423.63 × 297.61
  4. Step 4: Simplify right side
    307.19x = 126,075.47
  5. Step 5: Solve for x
    x = 126,075.47/307.19
  6. Step 6: Final answer
    x = 410.41

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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.