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Finding the Fourth Proportional to 333.68, 459.20 and 302.63

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Solution

The fourth proportional to 333.68, 459.20 and 302.63 is: 416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.68 : 459.20 = 302.63 : x
  2. Step 2: Convert to fraction form
    333.68/459.20 = 302.63/x
  3. Step 3: Cross multiply
    333.68x = 459.20 × 302.63
  4. Step 4: Simplify right side
    333.68x = 138,966.16
  5. Step 5: Solve for x
    x = 138,966.16/333.68
  6. Step 6: Final answer
    x = 416.47

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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.