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Finding the Fourth Proportional to 935.36, 1,402.98 and 380.12

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Solution

The fourth proportional to 935.36, 1,402.98 and 380.12 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.36 : 1,402.98 = 380.12 : x
  2. Step 2: Convert to fraction form
    935.36/1,402.98 = 380.12/x
  3. Step 3: Cross multiply
    935.36x = 1,402.98 × 380.12
  4. Step 4: Simplify right side
    935.36x = 533,300.76
  5. Step 5: Solve for x
    x = 533,300.76/935.36
  6. Step 6: Final answer
    x = 570.16

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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.