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Finding the Fourth Proportional to 530.37, 795.69 and 165.16

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Solution

The fourth proportional to 530.37, 795.69 and 165.16 is: 247.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.37 : 795.69 = 165.16 : x
  2. Step 2: Convert to fraction form
    530.37/795.69 = 165.16/x
  3. Step 3: Cross multiply
    530.37x = 795.69 × 165.16
  4. Step 4: Simplify right side
    530.37x = 131,416.16
  5. Step 5: Solve for x
    x = 131,416.16/530.37
  6. Step 6: Final answer
    x = 247.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.