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Finding the Fourth Proportional to 365.60, 546.32 and 262.40

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Solution

The fourth proportional to 365.60, 546.32 and 262.40 is: 392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.60 : 546.32 = 262.40 : x
  2. Step 2: Convert to fraction form
    365.60/546.32 = 262.40/x
  3. Step 3: Cross multiply
    365.60x = 546.32 × 262.40
  4. Step 4: Simplify right side
    365.60x = 143,354.37
  5. Step 5: Solve for x
    x = 143,354.37/365.60
  6. Step 6: Final answer
    x = 392.11

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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.