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Finding the Fourth Proportional to 309.56, 462 and 302.28

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Solution

The fourth proportional to 309.56, 462 and 302.28 is: 451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.56 : 462 = 302.28 : x
  2. Step 2: Convert to fraction form
    309.56/462 = 302.28/x
  3. Step 3: Cross multiply
    309.56x = 462 × 302.28
  4. Step 4: Simplify right side
    309.56x = 139,653.36
  5. Step 5: Solve for x
    x = 139,653.36/309.56
  6. Step 6: Final answer
    x = 451.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.