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Finding the Fourth Proportional to 602.16, 830.64 and 369.12

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Solution

The fourth proportional to 602.16, 830.64 and 369.12 is: 509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 830.64 = 369.12 : x
  2. Step 2: Convert to fraction form
    602.16/830.64 = 369.12/x
  3. Step 3: Cross multiply
    602.16x = 830.64 × 369.12
  4. Step 4: Simplify right side
    602.16x = 306,605.84
  5. Step 5: Solve for x
    x = 306,605.84/602.16
  6. Step 6: Final answer
    x = 509.18

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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.