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Finding the Fourth Proportional to 400.99, 601.74 and 157.51

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Solution

The fourth proportional to 400.99, 601.74 and 157.51 is: 236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.99 : 601.74 = 157.51 : x
  2. Step 2: Convert to fraction form
    400.99/601.74 = 157.51/x
  3. Step 3: Cross multiply
    400.99x = 601.74 × 157.51
  4. Step 4: Simplify right side
    400.99x = 94,778.72
  5. Step 5: Solve for x
    x = 94,778.72/400.99
  6. Step 6: Final answer
    x = 236.36

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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.