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Finding the Fourth Proportional to 333.34, 459.06 and 291.89

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Solution

The fourth proportional to 333.34, 459.06 and 291.89 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.34 : 459.06 = 291.89 : x
  2. Step 2: Convert to fraction form
    333.34/459.06 = 291.89/x
  3. Step 3: Cross multiply
    333.34x = 459.06 × 291.89
  4. Step 4: Simplify right side
    333.34x = 133,995.02
  5. Step 5: Solve for x
    x = 133,995.02/333.34
  6. Step 6: Final answer
    x = 401.98

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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.