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Finding the Fourth Proportional to 305.64, 461.10 and 290.46

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Solution

The fourth proportional to 305.64, 461.10 and 290.46 is: 438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 461.10 = 290.46 : x
  2. Step 2: Convert to fraction form
    305.64/461.10 = 290.46/x
  3. Step 3: Cross multiply
    305.64x = 461.10 × 290.46
  4. Step 4: Simplify right side
    305.64x = 133,931.11
  5. Step 5: Solve for x
    x = 133,931.11/305.64
  6. Step 6: Final answer
    x = 438.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.