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Finding the Fourth Proportional to 386.25, 577.34 and 317.40

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Solution

The fourth proportional to 386.25, 577.34 and 317.40 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.25 : 577.34 = 317.40 : x
  2. Step 2: Convert to fraction form
    386.25/577.34 = 317.40/x
  3. Step 3: Cross multiply
    386.25x = 577.34 × 317.40
  4. Step 4: Simplify right side
    386.25x = 183,246.13
  5. Step 5: Solve for x
    x = 183,246.13/386.25
  6. Step 6: Final answer
    x = 474.42

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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.