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Finding the Fourth Proportional to 333.04, 459.65 and 277.69

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Solution

The fourth proportional to 333.04, 459.65 and 277.69 is: 383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.04 : 459.65 = 277.69 : x
  2. Step 2: Convert to fraction form
    333.04/459.65 = 277.69/x
  3. Step 3: Cross multiply
    333.04x = 459.65 × 277.69
  4. Step 4: Simplify right side
    333.04x = 127,640.21
  5. Step 5: Solve for x
    x = 127,640.21/333.04
  6. Step 6: Final answer
    x = 383.26

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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.