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Finding the Fourth Proportional to 388, 581.16 and 377.68

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Solution

The fourth proportional to 388, 581.16 and 377.68 is: 565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    388 : 581.16 = 377.68 : x
  2. Step 2: Convert to fraction form
    388/581.16 = 377.68/x
  3. Step 3: Cross multiply
    388x = 581.16 × 377.68
  4. Step 4: Simplify right side
    388x = 219,492.51
  5. Step 5: Solve for x
    x = 219,492.51/388
  6. Step 6: Final answer
    x = 565.70

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