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Finding the Fourth Proportional to 528, 729 and 321.36

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Solution

The fourth proportional to 528, 729 and 321.36 is: 443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528 : 729 = 321.36 : x
  2. Step 2: Convert to fraction form
    528/729 = 321.36/x
  3. Step 3: Cross multiply
    528x = 729 × 321.36
  4. Step 4: Simplify right side
    528x = 234,271.44
  5. Step 5: Solve for x
    x = 234,271.44/528
  6. Step 6: Final answer
    x = 443.70

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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.