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Finding the Fourth Proportional to 509.10, 702.54 and 288.08

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Solution

The fourth proportional to 509.10, 702.54 and 288.08 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.10 : 702.54 = 288.08 : x
  2. Step 2: Convert to fraction form
    509.10/702.54 = 288.08/x
  3. Step 3: Cross multiply
    509.10x = 702.54 × 288.08
  4. Step 4: Simplify right side
    509.10x = 202,387.72
  5. Step 5: Solve for x
    x = 202,387.72/509.10
  6. Step 6: Final answer
    x = 397.54

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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.