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Finding the Fourth Proportional to 364.79, 544.37 and 306.47

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Solution

The fourth proportional to 364.79, 544.37 and 306.47 is: 457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.79 : 544.37 = 306.47 : x
  2. Step 2: Convert to fraction form
    364.79/544.37 = 306.47/x
  3. Step 3: Cross multiply
    364.79x = 544.37 × 306.47
  4. Step 4: Simplify right side
    364.79x = 166,828.82
  5. Step 5: Solve for x
    x = 166,828.82/364.79
  6. Step 6: Final answer
    x = 457.33

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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.