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Finding the Fourth Proportional to 307.91, 459.48 and 275.06

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Solution

The fourth proportional to 307.91, 459.48 and 275.06 is: 410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.91 : 459.48 = 275.06 : x
  2. Step 2: Convert to fraction form
    307.91/459.48 = 275.06/x
  3. Step 3: Cross multiply
    307.91x = 459.48 × 275.06
  4. Step 4: Simplify right side
    307.91x = 126,384.57
  5. Step 5: Solve for x
    x = 126,384.57/307.91
  6. Step 6: Final answer
    x = 410.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.