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Finding the Fourth Proportional to 178.23, 265.63 and 174.63

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Solution

The fourth proportional to 178.23, 265.63 and 174.63 is: 260.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 265.63 = 174.63 : x
  2. Step 2: Convert to fraction form
    178.23/265.63 = 174.63/x
  3. Step 3: Cross multiply
    178.23x = 265.63 × 174.63
  4. Step 4: Simplify right side
    178.23x = 46,386.53
  5. Step 5: Solve for x
    x = 46,386.53/178.23
  6. Step 6: Final answer
    x = 260.26

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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.