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Finding the Fourth Proportional to 386.90, 577.23 and 365.30

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Solution

The fourth proportional to 386.90, 577.23 and 365.30 is: 545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.90 : 577.23 = 365.30 : x
  2. Step 2: Convert to fraction form
    386.90/577.23 = 365.30/x
  3. Step 3: Cross multiply
    386.90x = 577.23 × 365.30
  4. Step 4: Simplify right side
    386.90x = 210,860.29
  5. Step 5: Solve for x
    x = 210,860.29/386.90
  6. Step 6: Final answer
    x = 545.00

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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.