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Finding the Fourth Proportional to 333.40, 459.93 and 284.80

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Solution

The fourth proportional to 333.40, 459.93 and 284.80 is: 392.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.40 : 459.93 = 284.80 : x
  2. Step 2: Convert to fraction form
    333.40/459.93 = 284.80/x
  3. Step 3: Cross multiply
    333.40x = 459.93 × 284.80
  4. Step 4: Simplify right side
    333.40x = 130,988.06
  5. Step 5: Solve for x
    x = 130,988.06/333.40
  6. Step 6: Final answer
    x = 392.89

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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.