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Finding the Fourth Proportional to 307.41, 459.32 and 296.65

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Solution

The fourth proportional to 307.41, 459.32 and 296.65 is: 443.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.41 : 459.32 = 296.65 : x
  2. Step 2: Convert to fraction form
    307.41/459.32 = 296.65/x
  3. Step 3: Cross multiply
    307.41x = 459.32 × 296.65
  4. Step 4: Simplify right side
    307.41x = 136,254.24
  5. Step 5: Solve for x
    x = 136,254.24/307.41
  6. Step 6: Final answer
    x = 443.23

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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.