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Finding the Fourth Proportional to 417.24, 625.58 and 273

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Solution

The fourth proportional to 417.24, 625.58 and 273 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.24 : 625.58 = 273 : x
  2. Step 2: Convert to fraction form
    417.24/625.58 = 273/x
  3. Step 3: Cross multiply
    417.24x = 625.58 × 273
  4. Step 4: Simplify right side
    417.24x = 170,783.34
  5. Step 5: Solve for x
    x = 170,783.34/417.24
  6. Step 6: Final answer
    x = 409.32

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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.