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Finding the Fourth Proportional to 386.02, 575.87 and 358.06

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Solution

The fourth proportional to 386.02, 575.87 and 358.06 is: 534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 575.87 = 358.06 : x
  2. Step 2: Convert to fraction form
    386.02/575.87 = 358.06/x
  3. Step 3: Cross multiply
    386.02x = 575.87 × 358.06
  4. Step 4: Simplify right side
    386.02x = 206,196.01
  5. Step 5: Solve for x
    x = 206,196.01/386.02
  6. Step 6: Final answer
    x = 534.16

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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.