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Finding the Fourth Proportional to 306, 455.94 and 290.16

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Solution

The fourth proportional to 306, 455.94 and 290.16 is: 432.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 455.94 = 290.16 : x
  2. Step 2: Convert to fraction form
    306/455.94 = 290.16/x
  3. Step 3: Cross multiply
    306x = 455.94 × 290.16
  4. Step 4: Simplify right side
    306x = 132,295.55
  5. Step 5: Solve for x
    x = 132,295.55/306
  6. Step 6: Final answer
    x = 432.34

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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.