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Finding the Fourth Proportional to 317.10, 437.58 and 186.06

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Solution

The fourth proportional to 317.10, 437.58 and 186.06 is: 256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.10 : 437.58 = 186.06 : x
  2. Step 2: Convert to fraction form
    317.10/437.58 = 186.06/x
  3. Step 3: Cross multiply
    317.10x = 437.58 × 186.06
  4. Step 4: Simplify right side
    317.10x = 81,416.13
  5. Step 5: Solve for x
    x = 81,416.13/317.10
  6. Step 6: Final answer
    x = 256.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.