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Finding the Fourth Proportional to 652.12, 978.16 and 213.36

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Solution

The fourth proportional to 652.12, 978.16 and 213.36 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.12 : 978.16 = 213.36 : x
  2. Step 2: Convert to fraction form
    652.12/978.16 = 213.36/x
  3. Step 3: Cross multiply
    652.12x = 978.16 × 213.36
  4. Step 4: Simplify right side
    652.12x = 208,700.22
  5. Step 5: Solve for x
    x = 208,700.22/652.12
  6. Step 6: Final answer
    x = 320.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.