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Finding the Fourth Proportional to 459.55, 633.82 and 302.01

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Solution

The fourth proportional to 459.55, 633.82 and 302.01 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.55 : 633.82 = 302.01 : x
  2. Step 2: Convert to fraction form
    459.55/633.82 = 302.01/x
  3. Step 3: Cross multiply
    459.55x = 633.82 × 302.01
  4. Step 4: Simplify right side
    459.55x = 191,419.98
  5. Step 5: Solve for x
    x = 191,419.98/459.55
  6. Step 6: Final answer
    x = 416.54

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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.