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Finding the Fourth Proportional to 499.40, 688.83 and 302.75

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Solution

The fourth proportional to 499.40, 688.83 and 302.75 is: 417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.40 : 688.83 = 302.75 : x
  2. Step 2: Convert to fraction form
    499.40/688.83 = 302.75/x
  3. Step 3: Cross multiply
    499.40x = 688.83 × 302.75
  4. Step 4: Simplify right side
    499.40x = 208,543.28
  5. Step 5: Solve for x
    x = 208,543.28/499.40
  6. Step 6: Final answer
    x = 417.59

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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.