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Finding the Fourth Proportional to 459.56, 634.52 and 302.28

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Solution

The fourth proportional to 459.56, 634.52 and 302.28 is: 417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.56 : 634.52 = 302.28 : x
  2. Step 2: Convert to fraction form
    459.56/634.52 = 302.28/x
  3. Step 3: Cross multiply
    459.56x = 634.52 × 302.28
  4. Step 4: Simplify right side
    459.56x = 191,802.71
  5. Step 5: Solve for x
    x = 191,802.71/459.56
  6. Step 6: Final answer
    x = 417.36

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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.