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Finding the Fourth Proportional to 507.42, 760.84 and 160.69

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Solution

The fourth proportional to 507.42, 760.84 and 160.69 is: 240.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.42 : 760.84 = 160.69 : x
  2. Step 2: Convert to fraction form
    507.42/760.84 = 160.69/x
  3. Step 3: Cross multiply
    507.42x = 760.84 × 160.69
  4. Step 4: Simplify right side
    507.42x = 122,254.77
  5. Step 5: Solve for x
    x = 122,254.77/507.42
  6. Step 6: Final answer
    x = 240.93

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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.