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Finding the Fourth Proportional to 389.68, 583.80 and 346.48

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Solution

The fourth proportional to 389.68, 583.80 and 346.48 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.68 : 583.80 = 346.48 : x
  2. Step 2: Convert to fraction form
    389.68/583.80 = 346.48/x
  3. Step 3: Cross multiply
    389.68x = 583.80 × 346.48
  4. Step 4: Simplify right side
    389.68x = 202,275.02
  5. Step 5: Solve for x
    x = 202,275.02/389.68
  6. Step 6: Final answer
    x = 519.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.