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Finding the Fourth Proportional to 306.64, 459.69 and 210.25

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Solution

The fourth proportional to 306.64, 459.69 and 210.25 is: 315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.64 : 459.69 = 210.25 : x
  2. Step 2: Convert to fraction form
    306.64/459.69 = 210.25/x
  3. Step 3: Cross multiply
    306.64x = 459.69 × 210.25
  4. Step 4: Simplify right side
    306.64x = 96,649.82
  5. Step 5: Solve for x
    x = 96,649.82/306.64
  6. Step 6: Final answer
    x = 315.19

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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.