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Finding the Fourth Proportional to 346.04, 476.40 and 300.02

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Solution

The fourth proportional to 346.04, 476.40 and 300.02 is: 413.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.04 : 476.40 = 300.02 : x
  2. Step 2: Convert to fraction form
    346.04/476.40 = 300.02/x
  3. Step 3: Cross multiply
    346.04x = 476.40 × 300.02
  4. Step 4: Simplify right side
    346.04x = 142,929.53
  5. Step 5: Solve for x
    x = 142,929.53/346.04
  6. Step 6: Final answer
    x = 413.04

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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.