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Finding the Fourth Proportional to 309.60, 461.19 and 302.40

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Solution

The fourth proportional to 309.60, 461.19 and 302.40 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 461.19 = 302.40 : x
  2. Step 2: Convert to fraction form
    309.60/461.19 = 302.40/x
  3. Step 3: Cross multiply
    309.60x = 461.19 × 302.40
  4. Step 4: Simplify right side
    309.60x = 139,463.86
  5. Step 5: Solve for x
    x = 139,463.86/309.60
  6. Step 6: Final answer
    x = 450.46

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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.