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Finding the Fourth Proportional to 332.99, 459.74 and 215.03

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Solution

The fourth proportional to 332.99, 459.74 and 215.03 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.99 : 459.74 = 215.03 : x
  2. Step 2: Convert to fraction form
    332.99/459.74 = 215.03/x
  3. Step 3: Cross multiply
    332.99x = 459.74 × 215.03
  4. Step 4: Simplify right side
    332.99x = 98,856.13
  5. Step 5: Solve for x
    x = 98,856.13/332.99
  6. Step 6: Final answer
    x = 296.87

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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.