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Finding the Fourth Proportional to 216.47, 297.95 and 188.93

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Solution

The fourth proportional to 216.47, 297.95 and 188.93 is: 260.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.47 : 297.95 = 188.93 : x
  2. Step 2: Convert to fraction form
    216.47/297.95 = 188.93/x
  3. Step 3: Cross multiply
    216.47x = 297.95 × 188.93
  4. Step 4: Simplify right side
    216.47x = 56,291.49
  5. Step 5: Solve for x
    x = 56,291.49/216.47
  6. Step 6: Final answer
    x = 260.04

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