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Finding the Fourth Proportional to 459.05, 633.13 and 301.51

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Solution

The fourth proportional to 459.05, 633.13 and 301.51 is: 415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.05 : 633.13 = 301.51 : x
  2. Step 2: Convert to fraction form
    459.05/633.13 = 301.51/x
  3. Step 3: Cross multiply
    459.05x = 633.13 × 301.51
  4. Step 4: Simplify right side
    459.05x = 190,895.03
  5. Step 5: Solve for x
    x = 190,895.03/459.05
  6. Step 6: Final answer
    x = 415.85

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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.