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Finding the Fourth Proportional to 332.65, 459.93 and 277.39

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Solution

The fourth proportional to 332.65, 459.93 and 277.39 is: 383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.65 : 459.93 = 277.39 : x
  2. Step 2: Convert to fraction form
    332.65/459.93 = 277.39/x
  3. Step 3: Cross multiply
    332.65x = 459.93 × 277.39
  4. Step 4: Simplify right side
    332.65x = 127,579.98
  5. Step 5: Solve for x
    x = 127,579.98/332.65
  6. Step 6: Final answer
    x = 383.53

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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.