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Finding the Fourth Proportional to 309.88, 462.02 and 302.59

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Solution

The fourth proportional to 309.88, 462.02 and 302.59 is: 451.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 462.02 = 302.59 : x
  2. Step 2: Convert to fraction form
    309.88/462.02 = 302.59/x
  3. Step 3: Cross multiply
    309.88x = 462.02 × 302.59
  4. Step 4: Simplify right side
    309.88x = 139,802.63
  5. Step 5: Solve for x
    x = 139,802.63/309.88
  6. Step 6: Final answer
    x = 451.15

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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.