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Finding the Fourth Proportional to 332.94, 498.69 and 278.40

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Solution

The fourth proportional to 332.94, 498.69 and 278.40 is: 417.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.94 : 498.69 = 278.40 : x
  2. Step 2: Convert to fraction form
    332.94/498.69 = 278.40/x
  3. Step 3: Cross multiply
    332.94x = 498.69 × 278.40
  4. Step 4: Simplify right side
    332.94x = 138,835.30
  5. Step 5: Solve for x
    x = 138,835.30/332.94
  6. Step 6: Final answer
    x = 417.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.