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Finding the Fourth Proportional to 393.04, 586.64 and 341.84

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Solution

The fourth proportional to 393.04, 586.64 and 341.84 is: 510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.04 : 586.64 = 341.84 : x
  2. Step 2: Convert to fraction form
    393.04/586.64 = 341.84/x
  3. Step 3: Cross multiply
    393.04x = 586.64 × 341.84
  4. Step 4: Simplify right side
    393.04x = 200,537.02
  5. Step 5: Solve for x
    x = 200,537.02/393.04
  6. Step 6: Final answer
    x = 510.22

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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.