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Finding the Fourth Proportional to 407.19, 609.57 and 277.32

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Solution

The fourth proportional to 407.19, 609.57 and 277.32 is: 415.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.19 : 609.57 = 277.32 : x
  2. Step 2: Convert to fraction form
    407.19/609.57 = 277.32/x
  3. Step 3: Cross multiply
    407.19x = 609.57 × 277.32
  4. Step 4: Simplify right side
    407.19x = 169,045.95
  5. Step 5: Solve for x
    x = 169,045.95/407.19
  6. Step 6: Final answer
    x = 415.15

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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.