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Finding the Fourth Proportional to 386.63, 530.37 and 365.70

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Solution

The fourth proportional to 386.63, 530.37 and 365.70 is: 501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.63 : 530.37 = 365.70 : x
  2. Step 2: Convert to fraction form
    386.63/530.37 = 365.70/x
  3. Step 3: Cross multiply
    386.63x = 530.37 × 365.70
  4. Step 4: Simplify right side
    386.63x = 193,956.31
  5. Step 5: Solve for x
    x = 193,956.31/386.63
  6. Step 6: Final answer
    x = 501.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.