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Finding the Fourth Proportional to 492.39, 678.42 and 368.01

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Solution

The fourth proportional to 492.39, 678.42 and 368.01 is: 507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.39 : 678.42 = 368.01 : x
  2. Step 2: Convert to fraction form
    492.39/678.42 = 368.01/x
  3. Step 3: Cross multiply
    492.39x = 678.42 × 368.01
  4. Step 4: Simplify right side
    492.39x = 249,665.34
  5. Step 5: Solve for x
    x = 249,665.34/492.39
  6. Step 6: Final answer
    x = 507.05

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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.