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Finding the Fourth Proportional to 530.91, 796.53 and 238.50

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Solution

The fourth proportional to 530.91, 796.53 and 238.50 is: 357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.91 : 796.53 = 238.50 : x
  2. Step 2: Convert to fraction form
    530.91/796.53 = 238.50/x
  3. Step 3: Cross multiply
    530.91x = 796.53 × 238.50
  4. Step 4: Simplify right side
    530.91x = 189,972.41
  5. Step 5: Solve for x
    x = 189,972.41/530.91
  6. Step 6: Final answer
    x = 357.82

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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.