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Finding the Fourth Proportional to 538.67, 807.53 and 355.68

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Solution

The fourth proportional to 538.67, 807.53 and 355.68 is: 533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 807.53 = 355.68 : x
  2. Step 2: Convert to fraction form
    538.67/807.53 = 355.68/x
  3. Step 3: Cross multiply
    538.67x = 807.53 × 355.68
  4. Step 4: Simplify right side
    538.67x = 287,222.27
  5. Step 5: Solve for x
    x = 287,222.27/538.67
  6. Step 6: Final answer
    x = 533.21

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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.