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Finding the Fourth Proportional to 322.94, 486.84 and 302.06

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Solution

The fourth proportional to 322.94, 486.84 and 302.06 is: 455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.94 : 486.84 = 302.06 : x
  2. Step 2: Convert to fraction form
    322.94/486.84 = 302.06/x
  3. Step 3: Cross multiply
    322.94x = 486.84 × 302.06
  4. Step 4: Simplify right side
    322.94x = 147,051.32
  5. Step 5: Solve for x
    x = 147,051.32/322.94
  6. Step 6: Final answer
    x = 455.36

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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.