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Finding the Fourth Proportional to 417.42, 625.93 and 153.77

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Solution

The fourth proportional to 417.42, 625.93 and 153.77 is: 230.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 625.93 = 153.77 : x
  2. Step 2: Convert to fraction form
    417.42/625.93 = 153.77/x
  3. Step 3: Cross multiply
    417.42x = 625.93 × 153.77
  4. Step 4: Simplify right side
    417.42x = 96,245.74
  5. Step 5: Solve for x
    x = 96,245.74/417.42
  6. Step 6: Final answer
    x = 230.57

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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.