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Finding the Fourth Proportional to 467.22, 699.91 and 284.16

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Solution

The fourth proportional to 467.22, 699.91 and 284.16 is: 425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.22 : 699.91 = 284.16 : x
  2. Step 2: Convert to fraction form
    467.22/699.91 = 284.16/x
  3. Step 3: Cross multiply
    467.22x = 699.91 × 284.16
  4. Step 4: Simplify right side
    467.22x = 198,881.51
  5. Step 5: Solve for x
    x = 198,881.51/467.22
  6. Step 6: Final answer
    x = 425.67

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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.