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Finding the Fourth Proportional to 530.05, 731.66 and 320.23

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Solution

The fourth proportional to 530.05, 731.66 and 320.23 is: 442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.05 : 731.66 = 320.23 : x
  2. Step 2: Convert to fraction form
    530.05/731.66 = 320.23/x
  3. Step 3: Cross multiply
    530.05x = 731.66 × 320.23
  4. Step 4: Simplify right side
    530.05x = 234,299.48
  5. Step 5: Solve for x
    x = 234,299.48/530.05
  6. Step 6: Final answer
    x = 442.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.